Exclusive-NOR Gate with Ex-NOR Gate Truth Table

We said previously that the Ex-NOR function is a combination of different basic logic gates Ex-OR and a NOT gate, and by using the 2-input truth table above, we ... X Registertodownloadpremiumcontent! Registertodownloadpremiumcontent! X Deutsch Polski Register LogIn ACCircuits Amplifiers Attenuators BinaryNumbers BooleanAlgebra Capacitors CombinationalLogic Connectivity Counters DCCircuits Diodes Electromagnetism Filters Inductors Input/OutputDevices LogicGates MiscellaneousCircuits OperationalAmplifiers Oscillator PowerElectronics PowerSupplies Premium RCNetworks Resistors Resources SequentialLogic Systems Transformers Transistors Uncategorized WaveformGenerators PremiumContent FurtherEducation Sitemap ContactUs Home / LogicGates / Exclusive-NORGateTutorial Exclusive-NORGateTutorial TheExclusive-NORGatefunctionisadigitallogicgatethatisthereverseorcomplementaryformoftheExclusive-ORfunction Basicallythe“Exclusive-NOR”gateisacombinationoftheExclusive-ORgateandtheNOTgatebuthasatruthtablesimilartothestandardNORgateinthatithasanoutputthatisnormallyatlogiclevel“1”andgoes“LOW”tologiclevel“0”whenANYofitsinputsareatlogiclevel“1”. However,anoutput“1”isonlyobtainedifBOTHofitsinputsareatthesamelogiclevel,eitherbinary“1”or“0”.Forexample,“00”or“11”.ThisinputcombinationwouldthengiveustheBooleanexpressionof:  Q = (A ⊕ B) = A.B + A.B ThentheoutputofadigitallogicExclusive-NORgateONLYgoes“HIGH”whenitstwoinputterminals,AandBareatthe“SAME”logiclevelwhichcanbeeitheratalogiclevel“1”oratalogiclevel“0”.Inotherwords,anevennumberoflogic“1’s”onitsinputsgivesalogic“1”attheoutput,otherwiseisatlogiclevel“0”. Thenthistypeofgategivesandoutput“1”whenitsinputsare“logicallyequal”or“equivalent”toeachother,whichiswhyanExclusive-NORgateissometimescalledanEquivalenceGate. ThelogicsymbolforanExclusive-NORgateissimplyanExclusive-ORgatewithacircleor“inversionbubble”,( ο )atitsoutputtorepresenttheNOTfunction.ThentheLogicExclusive-NORGateisthereverseor“Complementary”formoftheExclusive-ORgate,(A ⊕ B)wehaveseenpreviously. Ex-NORGateEquivalent   TheExclusive-NORGate,alsowrittenas:“Ex-NOR”or“XNOR”,functionisachievedbycombiningstandardgatestogethertoformmorecomplexgatefunctionsandanexampleofa2-inputExclusive-NORgateisgivenbelow. TheDigitalLogic“Ex-NOR”Gate 2-inputEx-NORGate Symbol TruthTable 2-inputEx-NORGate B A Q 0 0 1 0 1 0 1 0 0 1 1 1 BooleanExpressionQ = A ⊕ B ReadifAANDBtheSAME givesQ   GivingtheBooleanexpressionof:  Q = AB + AB Thelogicfunctionimplementedbya2-inputEx-NORgateisgivenas“whenbothAANDBaretheSAME”willgiveanoutputatQ.Ingeneral,anExclusive-NORgatewillgiveanoutputvalueoflogic“1”ONLYwhenthereareanEVENnumberof1’sontheinputstothegate(theinverseoftheEx-ORgate)exceptwhenallitsinputsare“LOW”. ThenanEx-NORfunctionwithmorethantwoinputsiscalledan“evenfunction”ormodulo-2-sum(Mod-2-SUM),notanEx-NOR.Thisdescriptioncanbeexpandedtoapplytoanynumberofindividualinputsasshownbelowfora3-inputExclusive-NORgate. 3-inputEx-NORGate Symbol TruthTable 3-inputEx-NORGate C B A Q 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 BooleanExpressionQ = A ⊕ B ⊕ C Readas“anyEVENnumberofInputs” givesQ   GivingtheBooleanexpressionof:  Q = ABC + ABC + ABC + ABC WesaidpreviouslythattheEx-NORfunctionisacombinationofdifferentbasiclogicgatesEx-ORandaNOTgate,andbyusingthe2-inputtruthtableabove,wecanexpandtheEx-NORfunctionto:Q = A ⊕ B = (A.B) + (A.B) whichmeanswecanrealisethisnewexpressionusingthefollowingindividualgates. Ex-NORGateEquivalentCircuit   OneofthemaindisadvantagesofimplementingtheEx-NORfunctionaboveisthatitcontainsthreedifferenttypeslogicgatestheAND,NOTandfinallyanORgatewithinitsbasicdesign.OneeasierwayofproducingtheEx-NORfunctionfromasinglegatetypeistouseNANDgatesasshownbelow. Ex-NORFunctionRealisationusingNANDgates   Ex-NORgatesareusedmainlyinelectroniccircuitsthatperformarithmeticoperationsanddatacheckingsuchasAdders,SubtractorsorParityCheckers,etc.AstheEx-NORgategivesanoutputoflogiclevel“1”wheneveritstwoinputsareequalitcanbeusedtocomparethemagnitudeoftwobinarydigitsornumbersandsoEx-NORgatesareusedinDigitalComparatorcircuits. CommonlyavailabledigitallogicExclusive-NORgateIC’sinclude: TTLLogicEx-NORGates 74LS266Quad2-input CMOSLogicEx-NORGates CD4077Quad2-input 74266Quad2-inputEx-NORGate   InthenexttutorialaboutDigitalLogicGates,wewilllookatthedigitalTri-stateBufferalsocalledthenon-invertingbufferasusedinbothTTLandCMOSlogiccircuitsaswellasitsBooleanAlgebradefinitionandtruthtable. PreviousExclusive-ORGateTutorial NextDigitalBufferTutorial ReadmoreTutorialsinLogicGates 1.DigitalLogicGates 2.LogicANDGateTutorial 3.LogicORGateTutorial 4.LogicNOTGateTutorial 5.LogicNANDGateTutorial 6.LogicNORGateTutorial 7.Exclusive-ORGateTutorial 8.Exclusive-NORGateTutorial 9.DigitalBufferTutorial 10.DigitalLogicGatesSummary 11.Pull-upResistors 12.UniversalLogicGates 97Comments JointheconversationCancelreplyError!Pleasefillallfields. Notifymeoffollow-upcommentsbyemail. Δ ACHIANSESUGHsaviour howcanIjoinit PostedonApril10th2022|11:59am Reply ChinonsoElufu Thanksforsharing PostedonJanuary04th2022|8:12pm Reply SanaIqbal WellDone.Keepitup.Thanksforsharing. PostedonOctober31st2021|3:27pm Reply Duncanaswani Veryusefulpeaceofinformation PostedonOctober27th2021|7:21am Reply MarshalOku ThetopicunderdiscussionisveryusefulmmeasanI.C.TtutorandIenjoy.Kudostoyou. PostedonSeptember22nd2021|7:03pm Reply KING veryveryveryverywrongguidance PostedonJuly29th2021|8:28am Reply WayneStorr Yourcommentisveryveryveryveryambiguous PostedonJuly29th2021|12:42pm Reply Maxwellmachio AgoodcontentpleasesendmeapdfonBooleanalgebraandlogicgates PostedonJune23rd2021|6:20am Reply Rukhsar ProvethatEx-NorgateiscomplementofEx-ORgate.Drawsymbolandtruthtableforboth…pleasemailmetheanswer PostedonJune08th2021|3:34pm Reply Rukhsar WhatdoesanEXORgatedo? 1.Giveahighoutputwhenonlyoneofitsinputsarehigh 2.Givealowoutputwhenoneormoreofitsinputsarehigh 3.Givealowoutputwhenonlyoneofitsinputsarehigh 4.Giveahighoutputwhenoneormoreofitsinputsarehigh PostedonJune08th2021|3:33pm Reply Alexander BuildagatecircuitwhichoutputsonRtheresultofevaluatingthe expression (BequaltoC)and(BnotequaltoA). Help! PostedonApril19th2021|9:49pm Reply Vamshi.A.S WewantmoredeepexplanationandderivationsforallImpquestions…Andurwebsitewasveryhelpfultome…Tqsomuch☺ PostedonMarch19th2021|2:30am Reply Munira Howcouldweproveonlynortoxnor PostedonFebruary22nd2021|5:37am Reply Adyankareem 123 PostedonJanuary19th2021|10:28am Reply KuvadiyaNavnit ExORGate PostedonDecember19th2020|4:29am Reply Rinku Notgate PostedonDecember08th2020|10:45am Reply AYESHA WhatdoesanEXORgatedo? 1. Giveahighoutputwhenonlyoneofitsinputsarehigh 2. Givealowoutputwhenoneormoreofitsinputsarehigh 3. Givealowoutputwhenonlyoneofitsinputsarehigh 4. Giveahighoutputwhenoneormoreofitsinputsarehigh PostedonOctober19th2020|12:18pm Reply ShariarR.Arif Anyways,areyouBangladeshi🙄 PostedonDecember27th2020|4:38am Reply Shubham TruthTableofEX-ORGate:- A|B==Y ———- 0|0==0 0|1==1 1|0==1 1|1==0 PostedonNovember19th2020|9:25am Reply deependra bestnotes PostedonOctober04th2020|7:06am Reply Sumeet Accordingtomeitsanexcellentplatformtoshareknowledge.Butwhenitcomestocontent,speciallyrelatedelectronics,moretopicsshouldbeaddedsothatlearnercangetmoreresources.Kindlygetintocontactforfurtherdetaileddiscussion. PostedonAugust27th2020|10:47am Reply GANDHITIRTH IAMJOIN. ANDLEARNINGBRAVALY PLEASEMANEJOINKARO PostedonAugust23rd2020|10:39am Reply Maksanaavani Logicgate PostedonJuly24th2020|12:22pm Reply ViewMore ReadmoreTutorialsinLogicGates 1.DigitalLogicGates 2.LogicANDGateTutorial 3.LogicORGateTutorial 4.LogicNOTGateTutorial 5.LogicNANDGateTutorial 6.LogicNORGateTutorial 7.Exclusive-ORGateTutorial 8.Exclusive-NORGateTutorial 9.DigitalBufferTutorial 10.DigitalLogicGatesSummary 11.Pull-upResistors 12.UniversalLogicGates LookingforDataSheets? Close TheBasics ContactUs PrivacyPolicy TermsofUse ForAdvertisers ContactSales MediaGuideRequest AspencoreNetwork EDN EETimes EEWeb ElectronicProducts PowerElectronicsNews EPSNews Embedded PlanetAnalog ElectroSchematics TechOnline Datasheets.com ElectronicsKnowHow IoTTimes GlobalNetwork EETimesAsia EETimesChina EETimesIndia EETimesJapan EETimesTaiwan EDNAsia EDNChina EDNTaiwan EDNJapan ESMChina ConnectwithUs Facebook AllcontentsareCopyright©2022byAspenCore,Inc.Allrightsreserved. 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